Please use this identifier to cite or link to this item: http://localhost/handle/Hannan/603604
Title: Generalised mathematical model of memristor
Authors: Junwei Sun;Lina Yao;Xuncai Zhang;Yanfeng Wang;Guangzhao Cui
subject: sinusoidal excitation signal|square nonlinearity memristor|pinched hysteresis loop|memristor fingerprint|cubic nonlinearity memristor|HP memristor|piecewise-linear memristor|generalised mathematical model|state variable
Year: 2016
Publisher: IEEE
Abstract: To qualify as a memristor, the pinched hysteresis loop of a dynamical system corresponding to a sinusoidal excitation signal must be pinched at the origin, for any amplitude, and for any frequency, as well as for any initial condition of the state variable. The above conditions can be checked by the simulations which should be repeated as many times as possible. However, the times of simulation are limited, the finite results drawn through the simulation are not necessarily reliable. To increase the reliability of the judgment, a generalised mathematical model of memristor is designed in the study, which confirms three fingerprints of memristor. HP memristor, piecewise-linear memristor, memristor with square non-linearity and memristor with cubic non-linearity are included as generalised memristor model special cases. The generalised mathematical model of memristor is applied to distinguish memristor from three mathematical model examples. A generalised mathematical model of memristor is a necessary, but not a sufficient condition for judging whether the dynamical system is or not a memristor, which may save us a lot of time and energy.
URI: http://localhost/handle/Hannan/135970
http://localhost/handle/Hannan/603604
ISSN: 1751-858X
1751-8598
volume: 10
issue: 3
Appears in Collections:2016

Files in This Item:
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Title: Generalised mathematical model of memristor
Authors: Junwei Sun;Lina Yao;Xuncai Zhang;Yanfeng Wang;Guangzhao Cui
subject: sinusoidal excitation signal|square nonlinearity memristor|pinched hysteresis loop|memristor fingerprint|cubic nonlinearity memristor|HP memristor|piecewise-linear memristor|generalised mathematical model|state variable
Year: 2016
Publisher: IEEE
Abstract: To qualify as a memristor, the pinched hysteresis loop of a dynamical system corresponding to a sinusoidal excitation signal must be pinched at the origin, for any amplitude, and for any frequency, as well as for any initial condition of the state variable. The above conditions can be checked by the simulations which should be repeated as many times as possible. However, the times of simulation are limited, the finite results drawn through the simulation are not necessarily reliable. To increase the reliability of the judgment, a generalised mathematical model of memristor is designed in the study, which confirms three fingerprints of memristor. HP memristor, piecewise-linear memristor, memristor with square non-linearity and memristor with cubic non-linearity are included as generalised memristor model special cases. The generalised mathematical model of memristor is applied to distinguish memristor from three mathematical model examples. A generalised mathematical model of memristor is a necessary, but not a sufficient condition for judging whether the dynamical system is or not a memristor, which may save us a lot of time and energy.
URI: http://localhost/handle/Hannan/135970
http://localhost/handle/Hannan/603604
ISSN: 1751-858X
1751-8598
volume: 10
issue: 3
Appears in Collections:2016

Files in This Item:
File Description SizeFormat 
7476039.pdf253.68 kBAdobe PDFThumbnail
Preview File
Title: Generalised mathematical model of memristor
Authors: Junwei Sun;Lina Yao;Xuncai Zhang;Yanfeng Wang;Guangzhao Cui
subject: sinusoidal excitation signal|square nonlinearity memristor|pinched hysteresis loop|memristor fingerprint|cubic nonlinearity memristor|HP memristor|piecewise-linear memristor|generalised mathematical model|state variable
Year: 2016
Publisher: IEEE
Abstract: To qualify as a memristor, the pinched hysteresis loop of a dynamical system corresponding to a sinusoidal excitation signal must be pinched at the origin, for any amplitude, and for any frequency, as well as for any initial condition of the state variable. The above conditions can be checked by the simulations which should be repeated as many times as possible. However, the times of simulation are limited, the finite results drawn through the simulation are not necessarily reliable. To increase the reliability of the judgment, a generalised mathematical model of memristor is designed in the study, which confirms three fingerprints of memristor. HP memristor, piecewise-linear memristor, memristor with square non-linearity and memristor with cubic non-linearity are included as generalised memristor model special cases. The generalised mathematical model of memristor is applied to distinguish memristor from three mathematical model examples. A generalised mathematical model of memristor is a necessary, but not a sufficient condition for judging whether the dynamical system is or not a memristor, which may save us a lot of time and energy.
URI: http://localhost/handle/Hannan/135970
http://localhost/handle/Hannan/603604
ISSN: 1751-858X
1751-8598
volume: 10
issue: 3
Appears in Collections:2016

Files in This Item:
File Description SizeFormat 
7476039.pdf253.68 kBAdobe PDFThumbnail
Preview File